All categories

3 years ago

Find the area of the triangle

Mathematics

1 answer:

Misha Larkins [42]3 years ago

8 0

Answer:

=14.69km²

Step-by-step explanation:

We can use the Hero's formula to calculate the area

A= √(s(s-a)(s-b)(s-c))

s is obtained by adding the lengths of the three sides of the triangle and then dividing by 2, a, b and c are the ides of the triangle.

S=(5+6+7)/2

A=√(9(9-6)(9-5)(9-7))

=√(9×3×4×2)

=√216

=14.69km²

You might be interested in

Brooke saved the same amount of money each week for four weeks. She made this table to show how much money she saved.

Musya8 [376]

Answer:

In 10 weeks of time, Brooke would earn $ 20.

Step-by-step explanation:

Here, according to the table:

The money saved in week 1 = $ 2 = $(1 x 2)

The money saved in week 2 = $ 4 = $ ( 2 x 2)

The money saved in week 3 = $ 6 = $ ( 3 x 2)

The money saved in week 4 = $ 8 = $ ( 4 x 2)

So, by the graph relation, we can see that:

The amount saved in n weeks = ( n x 2) dollars

So, the amount saved by Brooke in 10 weeks is:

Put n = 10, we get:

The money saved = 2 n = 2 x 10 = $ 20

Hence, in 10 weeks of time, Brooke would earn $ 20.

5 0

3 years ago

Jordan starts his day by doing his exercises. Jordan jumps rope for 10 minutes and lifts weights for 30 minutes. Jordan runs 10

romanna [79]

Answer:

Step-by-step explanation:

0.25 x 140 = 35

8 0

3 years ago

PLS HELP ME ASAP FOR 14? (SHOW WORK!!!!) + LOTS OF POINTS!!!

vladimir1956 [14]

30% off $ 45

<span>30% of $ 45 = (.3) (45) = $ 13.50 </span>

<span>30% off $ 45 = $ 45.00 - $ 13.50 = $ 31.50
hope this helped:)

</span>

6 0

3 years ago

What would be the answer to 8x^6/ 8x^5 =?

Lubov Fominskaja [6]

In dividing two equation with variables and exponent, First you must align or rearrange the equation and group them base on their variables but don't forget the sign of each variables. Second, proceed in dividing its quantity and then subtract its exponent to the other variables having the same. So by calculating it, the answer would be X or X^1

3 0

3 years ago

The rate of change of the number of mountain lions N(t) in a population is directly proportional to 725 - N(t), where t is the t

wolverine [178]

Answer:

a) The implied differential equation is $\frac{dN}{725 - N} = kdt$

b) The general equation is $N = 725 - C e^{-kt}$

c) The particular equation is $N = 725 - 325 e^{-0.49t}$

d) The population when t = 5, N(5) = 697 = 700( to the nearest 50)

Step-by-step explanation:

The rate of change of N(t) can be written as dN/dt

According to the question, $\frac{dN}{dt} \alpha (725 - N(t))$

$\frac{dN}{dt} = k (725 - N)\\\frac{dN}{725 - N} = kdt$

Integrating both sides of the equation

$\int {\frac{1 }{725 - N}} \, dN = \int {k} \, dt\\- ln (725 - N) = kt + C\\ ln (725 - N) = -(kt + C)\\725 - N = e^{-(kt + C)} \\725 - N = e^{-kt} * e^{-C} \\725 - N = C e^{-kt}\\N = 725 - C e^{-kt}$